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Finding the Third Proportional to 126,457 and 264,605

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Solution

The third proportional to 126,457 and 264,605 is: 553,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,457 : 264,605 = 264,605 : x
  2. Step 2: Convert to fraction form
    126,457/264,605 = 264,605/x
  3. Step 3: Cross multiply
    126,457x = 264,605 × 264,605
  4. Step 4: Simplify right side
    126,457x = 70,015,806,025
  5. Step 5: Solve for x
    x = 70,015,806,025/126,457
  6. Step 6: Final answer
    x = 553,672.84

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.